2578475073600 has 420 divisors, whose sum is σ = 9976668235600. Its totient is φ = 651403607040.

The previous prime is 2578475073571. The next prime is 2578475073607. The reversal of 2578475073600 is 63705748752.

It is a happy number.

2578475073600 is a `hidden beast` number, since 2 + 5 + 78 + 4 + 7 + 507 + 3 + 60 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (2578475073607) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1938831 + ... + 2985969.

Almost surely, 2^{2578475073600} is an apocalyptic number.

2578475073600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2578475073600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4988334117800).

2578475073600 is an abundant number, since it is smaller than the sum of its proper divisors (7398193162000).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2578475073600 is a wasteful number, since it uses less digits than its factorization.

2578475073600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1047192 (or 1047168 counting only the distinct ones).

The product of its (nonzero) digits is 9878400, while the sum is 54.

The spelling of 2578475073600 in words is "two trillion, five hundred seventy-eight billion, four hundred seventy-five million, seventy-three thousand, six hundred".